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Finding the Fourth Proportional to 706,174,664.88, 974,655,955.12 and 467,599,050.16

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Solution

The fourth proportional to 706,174,664.88, 974,655,955.12 and 467,599,050.16 is: 645,376,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,174,664.88 : 974,655,955.12 = 467,599,050.16 : x
  2. Step 2: Convert to fraction form
    706,174,664.88/974,655,955.12 = 467,599,050.16/x
  3. Step 3: Cross multiply
    706,174,664.88x = 974,655,955.12 × 467,599,050.16
  4. Step 4: Simplify right side
    706,174,664.88x = 455,748,198,846,899,648
  5. Step 5: Solve for x
    x = 455,748,198,846,899,648/706,174,664.88
  6. Step 6: Final answer
    x = 645,376,025.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.